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On Mean Convergence for the Partial Sums from Arrays of Rowwise and Pairwise \(M_{N}\)-Negatively Dependent Random Variables

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Abstract

In this study, we prove a mean convergence theorem for the partial sums from triangular arrays of rowwise and pairwise \(m_{n}\)-negatively dependent random variables, where \(m_{n}\) may be unbounded. The main theorem extends Theorem 3.1 of Chen, Bai, and Sung (J. Math.  Anal. Appl. 419, 1290–1302 (2014)).

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Funding

This work was supported by the Ministry of Education and Training, grant no. B2022-TDV-01.

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Authors and Affiliations

  1. Department of Mathematics, Vinh University, Nghe An, Vietnam

    Võ Thị Hông Vân & Phạm Nhu Ý

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  1. Võ Thị Hông Vân
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  2. Phạm Nhu Ý
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Correspondence to Võ Thị Hông Vân or Phạm Nhu Ý.

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Vân, V.T., Ý, P.N. On Mean Convergence for the Partial Sums from Arrays of Rowwise and Pairwise \(M_{N}\)-Negatively Dependent Random Variables. Lobachevskii J Math 45, 883–887 (2024). https://doi.org/10.1134/S199508022460016X

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